Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
권호 표지
DOI QR코드

DOI QR Code

Three Dimensional Dynamic Added Variable Plots

  • Seo, Han-Son (Department of Applied Statistics, Konkuk University)
  • Published : 2004.08.01
Download PDF
⟨ Previous Next ⟩

Abstract

Graphical methods for the specification of the curvature as a function of two predictors are animated to see the effect of an added variable to the model. Through a 3D animated plot it might be difficult to find a sequence of interpretable plots. But examples demonstrate that useful information can be obtained by using rotation technique in 3D plot. Besides 3D plots, an example of 2D animated plot applied to the case of high correlation between predictors and an added predictor is also given. It implies that speed of the convergence to a certain image in a dynamic plot may be understood as an influence of collinearity.

Keywords

References

  1. Journal of the American Statistical Association v.37 Seeing a curve in multiple regression Berk, K. N.;Booth, D. E.
  2. Technometrics v.35 Exploring partial residual plots Cook, R. D https://doi.org/10.2307/1270269
  3. Technometrics v.38 Added-variable plots and curvature in linear regression Cook, R. D https://doi.org/10.2307/1270611
  4. Technometrics v.31 Regression diagnostics with dynamic graphics Cook, R. D;Weisberg, S. https://doi.org/10.2307/3556140
  5. Computational Statistics & Data Analysis v.17 ARES Plots for Generalized Linear Models Cook, R. D;Weisberg, S. https://doi.org/10.1016/0167-9473(92)00075-3
  6. Applied Regression Including Computing and Graphics v.17 Cook, R. D;Weisberg, S.
  7. Technometrics v.29 Added-Variable Plots in Linear Regression Johnson, B. W.;McCulloch, R. E. https://doi.org/10.2307/1269453
  8. Technometrics v.28 Augmented Partial Residual Plots Mallows, C. L. https://doi.org/10.2307/1268980
  9. Technometrics v.14 The Use of Partial Residual Plots in Regression Analysis Larsen, W. A.;McClery, S. J. https://doi.org/10.2307/1267305
  10. Computational Statistics & Data Analysis v.30 A dynamic plot for the specification of curvature in linear regression Seo, H. S. https://doi.org/10.1016/S0167-9473(98)00057-7
  11. Applied linear regression Weisberg, S.
  12. LISP-STAT Tierney, L.